Title :
Decentralized control of discrete-time linear time invariant systems with input saturation
Author :
Deliu, Ciprian ; Malek, Babak ; Roy, Sandip ; Saberi, Ali ; Stoorvogel, A.
Author_Institution :
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.
Keywords :
actuators; decentralised control; discrete time systems; eigenvalues and eigenfunctions; linear systems; open loop systems; stability; LTI controller; actuator saturation; algebraic multiplicity; decentralized control; decentralized stabilization; discrete-time system; linear time invariant system; open-loop eigenvalues; Centralized control; Computer science; Control systems; Distributed control; Eigenvalues and eigenfunctions; Hydraulic actuators; Mathematics; Open loop systems; Sufficient conditions; Time invariant systems;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160158